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Abstract
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that partially rounding conjectured optimal hexagonal planar soap bubble clusters reduces perimeter. Different methods of creating optimal clusters are compared, and new candidate minimizers for several N are given.
| Original language | English |
|---|---|
| Article number | 20120392 |
| Number of pages | 10 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 469 |
| Issue number | 2149 |
| DOIs | |
| Publication status | Published - 08 Jan 2013 |
Keywords
- Surface Evolver
- perimeter minimization
- soap bubble clusters
- ENERGY
- CONJECTURE
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Dive into the research topics of 'Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?'. Together they form a unique fingerprint.Projects
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Are glacier surfaces the last refuge of an evolutionary ancient lineage of unknown fungi?
Edwards, A. (PI)
Natural Environment Research Council
05 Sept 2012 → 04 Mar 2015
Project: Externally funded research